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Finding the Fourth Proportional to 2,137.37, 2,946.73 and 1,918.67

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Solution

The fourth proportional to 2,137.37, 2,946.73 and 1,918.67 is: 2,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.37 : 2,946.73 = 1,918.67 : x
  2. Step 2: Convert to fraction form
    2,137.37/2,946.73 = 1,918.67/x
  3. Step 3: Cross multiply
    2,137.37x = 2,946.73 × 1,918.67
  4. Step 4: Simplify right side
    2,137.37x = 5,653,792.86
  5. Step 5: Solve for x
    x = 5,653,792.86/2,137.37
  6. Step 6: Final answer
    x = 2,645.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.